On the expected number of real roots of random polynomials arising from evolutionary game theory
Probability
2020-10-28 v1 Populations and Evolution
Quantitative Methods
Abstract
In this paper, we obtain finite estimates and asymptotic formulas for the expected number of real roots of two classes of random polynomials arising from evolutionary game theory. As a consequence of our analysis, we achieve an asymptotic formula for the expected number of internal equilibria in multi-player two-strategy random evolutionary games. Our results contribute both to evolutionary game theory and random polynomial theory.
Keywords
Cite
@article{arxiv.2010.14198,
title = {On the expected number of real roots of random polynomials arising from evolutionary game theory},
author = {V. H. Can and M. H. Duong and V. H. Pham},
journal= {arXiv preprint arXiv:2010.14198},
year = {2020}
}
Comments
21 pages